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arxiv: q-alg/9605048 · v2 · submitted 1996-06-02 · q-alg · math.QA

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Hecke symmetries and characteristic relations on Reflection Equation algebras

D.I.Gurevich , P.N.Pyatov , P.A.Saponov
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classification q-alg math.QA
keywords heckealgebraequationreflectionrelationssymmetryalgebraicalgebras
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We discuss how properties of Hecke symmetry (i.e., Hecke type R-matrix) influence the algebraic structure of the corresponding Reflection Equation (RE) algebra. Analogues of the Newton relations and Cayley-Hamilton theorem for the matrix of generators of the RE algebra related to a finite rank even Hecke symmetry are derived.

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